Abstract:We investigate which invariants of groups are powerful in distinguishing non-isomorphic p-groups. Based on this, we devise an effective algorithm to solve the group identification problem for the $10,494,213$ groups of order $2^9$. We exhibit a list of groups of order $2^9$ which are difficult to distinguish y invariants and thus are the most difficult cases for our algorithm.
From: Bettina Eick [view email]
[v1]
Tue, 10 Mar 2026 08:44:13 UTC (13 KB)
[v2]
Tue, 16 Jun 2026 15:11:49 UTC (14 KB)
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